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Finding the Fourth Proportional to 557,666.91, 769,566.83 and 312,635.43

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Solution

The fourth proportional to 557,666.91, 769,566.83 and 312,635.43 is: 431,429.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    557,666.91 : 769,566.83 = 312,635.43 : x
  2. Step 2: Convert to fraction form
    557,666.91/769,566.83 = 312,635.43/x
  3. Step 3: Cross multiply
    557,666.91x = 769,566.83 × 312,635.43
  4. Step 4: Simplify right side
    557,666.91x = 240,593,855,247.61
  5. Step 5: Solve for x
    x = 240,593,855,247.61/557,666.91
  6. Step 6: Final answer
    x = 431,429.32

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.